Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂₉⋊C₄

Direct product G=N×Q with N=C₄ and Q=C₂₉⋊C₄

		d	ρ	Label	ID
C₄×C₂₉⋊C₄		116	4	C4xC29:C4	464,30

Semidirect products G=N:Q with N=C₄ and Q=C₂₉⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂₉⋊C₄) = C₁₁₆⋊C₄	φ: C₂₉⋊C₄/D₂₉ → C₂ ⊆ Aut C₄	116	4	C4:(C29:C4)	464,31

Non-split extensions G=N.Q with N=C₄ and Q=C₂₉⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₂₉⋊C₄) = C₁₁₆.C₄	φ: C₂₉⋊C₄/D₂₉ → C₂ ⊆ Aut C₄	232	4	C4.(C29:C4)	464,29
C₄.₂(C₂₉⋊C₄) = C₂₉⋊C₁₆	central extension (φ=1)	464	4	C4.2(C29:C4)	464,3
C₄.₃(C₂₉⋊C₄) = D₂₉⋊C₈	central extension (φ=1)	232	4	C4.3(C29:C4)	464,28

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Extensions 1→N→G→Q→1 with N=C4 and Q=C29⋊C4